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Finding the Fourth Proportional to 10,347.77, 14,279.98 and 5,632.06

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Solution

The fourth proportional to 10,347.77, 14,279.98 and 5,632.06 is: 7,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.77 : 14,279.98 = 5,632.06 : x
  2. Step 2: Convert to fraction form
    10,347.77/14,279.98 = 5,632.06/x
  3. Step 3: Cross multiply
    10,347.77x = 14,279.98 × 5,632.06
  4. Step 4: Simplify right side
    10,347.77x = 80,425,676.00
  5. Step 5: Solve for x
    x = 80,425,676.00/10,347.77
  6. Step 6: Final answer
    x = 7,772.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.